Rule of exponents:
when bases are the same - They are both x's - you add the exponents.
x^(-8 + -2) = x^(-10) or 1/x^10)
Answer:
87 packages
Step-by-step explanation:
First we need to find the volume of the cone-shaped vase.
The volume of a cone is given by:
V_cone = (1/3) * pi * radius^2 * height
With a radius of 9 cm and a height of 28 cm, we have:
V_cone = (1/3) * pi * 9^2 * 28 = 2375.044 cm3
Each package of sand is a cube with side length of 3 cm, so its volume is:
V_cube = 3^3 = 27 cm3
Now, to know how many packages the artist can use without making the vase overflow, we just need to divide the volume of the cone by the volume of the cube:
V_cone / V_cube = 2375.044 / 27 = 87.9646 packages
So we can use 87 packages (if we use 88 cubes, the vase would overflow)
Segment addition postulate
Substitution
Distribution Property of Equality
Simplification, or Adding like terms
Subtraction property
Division Property
833
Seravalle____________Chiesanuova______________San Marino
|---------------------------------------------------------------------|
982
so the distance from Chiesanuova to Serravalle is :
982 - 833 = 149 miles <==
Answer:
0.333n + 28 ; 33.3 ; $41.653
Step-by-step explanation:
For the best fit line :
The slope of the graph :
Drawing a right angled triangle at any point on the best fit line :
Gradient = (y2 - y1) / (x2 - x1)
Gradient = (45 - 30) / (50 - 5)
Gradient = 15 / 45
Gradient = 0.333
Intercept :
Where best fit line crosses the y - axis = 28
b = 0.333n + 28
The extra cost of each extra call made made is the slope of the graph :
$0.333 = 33.3 cents
Estimated cost of 41 calls
b = 0.333(41) + 28
b = $41.653
Kindly note that, the values used were obtained from a graph which isn't lined, therefore values taken may not be very accurate.